Answer the question and workout the problem step by step detail. You should hand in the test not later than Thursday September 14, 2023 midnight. Any question, feel free to ask.

Situation:

The system is a single server queuing system with the crew as the server and machines as the customers. The service time has a triangular distribution (X1, 0), (X2, Y2) hours and inter arrival time distribution has an exponential distribution with a mean of 1/ hours. The Kendall Lee Notation is

M/ M/ s = 1/ FCFS// . The X1, X2, Y2 values are selected using your students number. See the table below.

X1 is the lowest number of your student identification number.The number is 5

X2 is the highest number of your student identification number. The number is 9

Y2 is to be computed according to the area of the triangle.

1/ is the average of your id student number

Construct a table using the Monte Carlo simulation method and hand simulate for 25 customers.

1. Determine the random numbers. You must show the random numbers.
2. Construct a table for the arrivals and service times.
3. Run the hand simulation.
4. Calculate the average utilization rate or traffic intensity ()
5. The average time (W) a student is in the system.
6. The average time (Wq) a student is in line waiting for service.

Simulation Table - add rows as needed